All categories

3 years ago

Find the value of x if a linear function goes through the following points and has the following slope: (x,2), (-4,6), m=3

Mathematics

2 answers:

Aneli [31]3 years ago

8 0

Answer:

X=-16/3 or 5.33

Step-by-step explanation:

The formula is y=mx+c

Substitute in values for gradient

6=-4×3+c

C=18

Y=3x+18

Substitute to find x

2=3x+18

-16=3x

X=-16/3

Anastasy [175]3 years ago

6 0

The slope is defined as

$m=\dfrac{\Delta y}{\Delta x}=\dfrac{6-2}{-4-x}$

So, we have the follwing equation:

$\dfrac{6-2}{-4-x} = 3 \iff 4 = 3(-4-x) \\\iff 4=-12-3x \iff16=-3x \iff x = -\dfrac{16}{3}$

You might be interested in

exis [7]

Answer:

Part 1) The length of the longest side of ∆ABC is 4 units

Part 2) The ratio of the area of ∆ABC to the area of ∆DEF is $\frac{1}{100}$

Step-by-step explanation:

Part 1) Find the length of the longest side of ∆ABC

we know that

If two figures are similar, then the ratio of its corresponding sides is proportional and this ratio is called the scale factor

The ratio of its perimeters is equal to the scale factor

Let

z ----> the scale factor

x ----> the length of the longest side of ∆ABC

y ----> the length of the longest side of ∆DEF

$z=\frac{x}{y}$

we have

$z=\frac{1}{10}$

$y=40\ units$

substitute

$\frac{1}{10}=\frac{x}{40}$

solve for x

$x=(40)\frac{1}{10}$

$x=4\ units$

therefore

The length of the longest side of ∆ABC is 4 units

Part 2) Find the ratio of the area of ∆ABC to the area of ∆DEF

we know that

If two figures are similar, then the ratio of its areas is equal to the scale factor squared

Let

z ----> the scale factor

x ----> the area of ∆ABC

y ----> the area of ∆DEF

$z^{2}=\frac{x}{y}$

we have

$z=\frac{1}{10}$

$z^2=(\frac{1}{10})^2$

$z^2=\frac{1}{100}$

therefore

The ratio of the area of ∆ABC to the area of ∆DEF is $\frac{1}{100}$

3 0

3 years ago

Sue purchased a $30,000 life insurance policy at the price of $24 for each $1000 of coverage. If she pays the premium in 12 mont

Inessa [10]

Cost of life insurance is $30000 at a price of for each $24 for each $1000 of coverage.

Cost = $\frac{24}{1000}\times30000$

= $720

Premium is paid each month then it becomes $\frac{720}{12}=60$

=$60

3 0

3 years ago

What is the answer to, (4-1) . n = n . _

NikAS [45]

Answer:

(4-1)•n=n•(4-1)

Step-by-step explanation:

It should equal each other so no matter what n equals it will equal each other :3

4 0

3 years ago

Read 2 more answers

What is the value of 0 in 302

vlada-n [284]

The answer is 10 because its in the tens place

4 0

3 years ago

What’s the degree of x

olga2289 [7]

Answer:
24.23

Step-by-step explanation:
The tan(x) would equal to the opposite side over the adjacent one
So 9/20. To get the degree we need to get the arctan of it, so arctan(9/20) = 24.23

5 0

2 years ago